Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation
arXiv:1507.00570 · doi:10.1103/PhysRevD.92.024034
Abstract
Different formulations of Einstein's equations used in numerical relativity can affect not only the stability but also the accuracy of numerical simulations. In the original Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation, the loss of the angular momentum, , is non-negligible in highly spinning single black hole evolutions. This loss also appears, usually right after the merger, in highly spinning binary black hole simulations, The loss of may be attributed to some unclear numerical dissipation. Reducing unphysical dissipation is expected to result in more stable and accurate evolutions. In the previous work \cite{yhlc12} we proposed several modifications which are able to prevent black hole evolutions from the unphysical dissipation, and the resulting simulations are more stable than in the traditional BSSN formulation. Specifically, these three modifications (M1, M2, and M3) enhance the effects of stability, hyperbolicity, and dissipation of the formulation. We experiment further in this work with these modifications, and demonstrate that these modifications improve the accuracy and also effectively suppress the loss of , particularly in the black hole simulations with the initially large ratio of and the square of the ADM mass.
10 pages, 8 figures. Accepted for publication in PRD
References in corpus (14)
- Stability of Relativistic Jets from Rotating, Accreting Black Holes via Fully Three-Dimensional Magnetohydrodynamic Simulations
- Constraining the Equation of State of Neutron Stars from Binary Mergers
- High-spin binary black hole mergers
- Tidal effects in binary neutron star coalescence
- Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
- Further insight into gravitational recoil
- Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
- Exploring binary-neutron-star-merger scenario of short-gamma-ray bursts by gravitational-wave observation
- Modeling maximum astrophysical gravitational recoil velocities
- Numerical evolution of multiple black holes with accurate initial data
- A Reinvestigation of Moving Punctured Black Holes with a New Code
- Modeling Gravitational Recoil Using Numerical Relativity
- Improved Moving Puncture Gauge Conditions for Compact Binary Evolutions
- Numerical experiments of adjusted BSSN systems for controlling constraint violations